Pith Number

pith:AYTYBPKC

pith:2018:AYTYBPKCR3U4PPSM33DN7OBCWC

not attested not anchored not stored refs pending

On the unavoidability of oriented trees

Fran\c{c}ois Dross, Fr\'ed\'eric Havet

arxiv:1812.05167 v1 · 2018-12-12 · cs.DM · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AYTYBPKCR3U4PPSM33DN7OBCWC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-17T23:58:24.294484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

062780bd428ee9c7be4cdec6dfb822b0ad387a92ea36756a3a26da761d5584d6

Aliases

arxiv: 1812.05167 · arxiv_version: 1812.05167v1 · doi: 10.48550/arxiv.1812.05167 · pith_short_12: AYTYBPKCR3U4 · pith_short_16: AYTYBPKCR3U4PPSM · pith_short_8: AYTYBPKC

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/AYTYBPKCR3U4PPSM33DN7OBCWC \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 062780bd428ee9c7be4cdec6dfb822b0ad387a92ea36756a3a26da761d5584d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a364b7762567b3d36085846fc134af1799ecf967272e50dd78b4965d3fb04ba2",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2018-12-12T21:41:13Z",
    "title_canon_sha256": "92e2ea5c3615c3f62af1929c34d184dfef4b0e44a68c296a41e6beae0e1bbb02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.05167",
    "kind": "arxiv",
    "version": 1
  }
}